Question

simplify [{(-2/5)^-7×(-2/5)^9}÷(-2/5)^2]and express the result as a power of 5

Answer 1

Given: The term [{(-2/5)^-7×(-2/5)^9}÷(-2/5)^2]

To find: Simplify and express the result as a power of 5.

Solution:

• Now we have given:

              [ { (-2/5)^-7 x (-2/5)^9 } ÷ (-2/5)^2 ]

• Taking denominator in numerator with negative power, we get:

              [ { (-2/5)^-7 x (-2/5)^9 } x (-2/5)^-2 ]

• Now all are having -2/5 in common, so multiplying it, we get:

              [ (-2/5)^-7 x (-2/5)^9 x (-2/5)^-2 ]

• Using the identity: a^m x a^n = a^(m+n)

              (-2/5)^(-7+9-2)

              (-2/5)^0

              1

            So it can be written as 1^5

Answer:

          So the given term can be written as 1^5.

Answer 2

Step-by-step explanation:

-2/5^-7= 5)-2^7

-2/5^9=5/-2^-9

-2/5^2=5/-2^-2

7+(-9)÷(-2)

-2÷-2

-2-(-2)

-2+2

=o

therefore answer is 0^5